A chimpanzee ($m = 41.0 kg$) is being transported for release into a nature conservancy in a trailer ($M = 552 kg$). As the truck that is towing the trailer accelerates, it applies a constant horizontal force of $F = 2650 N$ to the trailer. During this time, the chimpanzee hangs from a rope that is attached to the trailer's ceiling. What is the angle $\theta$ that the rope makes with respect to the vertical? (Hint: the tension in the rope is applied at both ends of the rope.) You may ignore air resistance and friction from the tires for this problem. For the representation, make sure that you include a free-body diagram for the chimp as well as the empty trailer. For the limit check, investigate what happens to $\theta$ as the trailer reaches constant speed and the pulling force drops to zero (i.e., $F \to 0$).